A velocity field is defined by (a) Three paths C₁, C₂ and C3 are shown below, where C₁ is a circular are with its centre at the origin, x is constant along C₂ and y is constant along C3. -2 V(x, y) = - [x-y] 2x у 3 0 C₂ Figure Q3 C₂ 2 Evaluate directly the line integral of V(x, y) along the path C₁. (12 marks)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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A velocity field is defined by
(a)
V(x, y)
-2
=
Three paths C₁, C₂ and C3 are shown below, where C₁ is a circular are with its centre at the
origin, x is constant along C₂ and y is constant along C3.
3
-
2x
0 C3
C₂
12
X
Figure Q3
Evaluate directly the line integral of V(x, y) along the path C₁.
(12 marks)
Transcribed Image Text:A velocity field is defined by (a) V(x, y) -2 = Three paths C₁, C₂ and C3 are shown below, where C₁ is a circular are with its centre at the origin, x is constant along C₂ and y is constant along C3. 3 - 2x 0 C3 C₂ 12 X Figure Q3 Evaluate directly the line integral of V(x, y) along the path C₁. (12 marks)
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